Statement 1: The number of real solutions of the equation x=7^x+7^ -x is zero. Statement 2: | x| 1.

JEE Main Mathematics question

Not in JEE Main syllabus

Statement 1: The number of real solutions of the equation is zero. Statement 2: .

(A)Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for Statement 1Correct
(B)Statement 1 is True, Statement 2 is True; Statement 2 is not a correct explanation for Statement 1
(C)Statement 1 is True, Statement 2 is False
(D)Statement 1 is False, Statement 2 is True

Answer: (A)

Statement 2 is a basic fact: . TRUE. By AM–GM, for every real . So the right side is at least 2 while the left side is at most 1: no

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Question ID VK-008036